Finite Group DatabasebetaFinite Group Databasebeta| order | 1584 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C3×C4 · Schur multiplier (H2) = C2 |
| direct product | C3×C4⋊Dic33 |
| unambiguous semidirect product | C4⋊(C3×Dic33) |
| Hall | C32×C11 ⋊ C4⋊C4 |
| Sylow | C11 ⋊ C3×C4⋊Dic3 |
| Sylow | C32 ⋊ C4⋊Dic11 |
120 conjugacy classes of subgroups.
| transitive degree | μt(G) = 528 |
414 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1584, 317);